%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM144+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:11:39 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 26 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 4 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 32 ( 7 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof('T-Preservation-T-abs',conjecture,
! [X9,X10,X20,X35,X15] :
( ( vtcheck(X20,vabs(X9,X10,ve1),X15)
& vreduce(vabs(X9,X10,ve1)) = vsomeExp(X35) )
=> vtcheck(X20,X35,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Preservation-T-abs') ).
fof(reduce1,axiom,
! [X9,X10,X11,X4,X19] :
( X4 = vabs(X9,X10,X11)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof(c_0_3,plain,
! [X4] : vnoExp != vsomeExp(X4),
inference(fof_simplification,[status(thm)],['DIFF-noExp-someExp']) ).
fof(c_0_4,negated_conjecture,
~ ! [X9,X10,X20,X35,X15] :
( ( vtcheck(X20,vabs(X9,X10,ve1),X15)
& vreduce(vabs(X9,X10,ve1)) = vsomeExp(X35) )
=> vtcheck(X20,X35,X15) ),
inference(assume_negation,[status(cth)],['T-Preservation-T-abs']) ).
fof(c_0_5,plain,
! [X91] : vnoExp != vsomeExp(X91),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])]) ).
fof(c_0_6,negated_conjecture,
( ~ vtcheck(esk3_0,esk4_0,esk5_0)
& vtcheck(esk3_0,vabs(esk1_0,esk2_0,ve1),esk5_0)
& vreduce(vabs(esk1_0,esk2_0,ve1)) = vsomeExp(esk4_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X97,X98,X99,X100,X101] :
( X101 = vnoExp
| X101 != vreduce(X100)
| X100 != vabs(X97,X98,X99) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])])]) ).
cnf(c_0_8,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
vreduce(vabs(esk1_0,esk2_0,ve1)) = vsomeExp(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( X5 != vreduce(X1)
| X1 != vabs(X2,X3,X4)
| X5 = vnoExp ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
vreduce(vabs(esk1_0,esk2_0,ve1)) != vnoExp,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
vreduce(vabs(X1,X2,X3)) = vnoExp,
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM144+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 14:23:23 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45 % Version: 3.5.1
% 0.11/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % new_bool_3 with pid 2649403 completed with status 0
% 0.11/0.45 % Result found by new_bool_3
% 0.11/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.45 % Search class: FGHSF-FSLF32-MFFFFFNN
% 0.11/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.45 % SubtermCWHack with pid 2649406 completed with status 0
% 0.11/0.45 % Result found by SubtermCWHack
% 0.11/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.45 % Search class: FGHSF-FSLF32-MFFFFFNN
% 0.11/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.45 % Preprocessing time : 0.003 s
% 0.11/0.45
% 0.11/0.45 % Proof found!
% 0.11/0.45 % SZS status Theorem
% 0.11/0.45 % SZS output start CNFRefutation
% See solution above
% 0.11/0.45 % Parsed axioms : 60
% 0.11/0.45 % Removed by relevancy pruning/SinE : 24
% 0.11/0.45 % Initial clauses : 163
% 0.11/0.45 % Removed in clause preprocessing : 7
% 0.11/0.45 % Initial clauses in saturation : 156
% 0.11/0.45 % Processed clauses : 47
% 0.11/0.45 % ...of these trivial : 0
% 0.11/0.45 % ...subsumed : 1
% 0.11/0.45 % ...remaining for further processing : 46
% 0.11/0.45 % Other redundant clauses eliminated : 18
% 0.11/0.45 % Clauses deleted for lack of memory : 0
% 0.11/0.45 % Backward-subsumed : 0
% 0.11/0.45 % Backward-rewritten : 4
% 0.11/0.45 % Generated clauses : 28
% 0.11/0.45 % ...of the previous two non-redundant : 18
% 0.11/0.45 % ...aggressively subsumed : 0
% 0.11/0.45 % Contextual simplify-reflections : 0
% 0.11/0.45 % Paramodulations : 6
% 0.11/0.45 % Factorizations : 0
% 0.11/0.45 % NegExts : 0
% 0.11/0.45 % Equation resolutions : 28
% 0.11/0.45 % Disequality decompositions : 0
% 0.11/0.45 % Total rewrite steps : 2
% 0.11/0.45 % ...of those cached : 1
% 0.11/0.45 % Propositional unsat checks : 0
% 0.11/0.45 % Propositional check models : 0
% 0.11/0.45 % Propositional check unsatisfiable : 0
% 0.11/0.45 % Propositional clauses : 0
% 0.11/0.45 % Propositional clauses after purity: 0
% 0.11/0.45 % Propositional unsat core size : 0
% 0.11/0.45 % Propositional preprocessing time : 0.000
% 0.11/0.45 % Propositional encoding time : 0.000
% 0.11/0.45 % Propositional solver time : 0.000
% 0.11/0.45 % Success case prop preproc time : 0.000
% 0.11/0.45 % Success case prop encoding time : 0.000
% 0.11/0.45 % Success case prop solver time : 0.000
% 0.11/0.45 % Current number of processed clauses : 30
% 0.11/0.45 % Positive orientable unit clauses : 6
% 0.11/0.45 % Positive unorientable unit clauses: 0
% 0.11/0.45 % Negative unit clauses : 8
% 0.11/0.45 % Non-unit-clauses : 16
% 0.11/0.45 % Current number of unprocessed clauses: 126
% 0.11/0.45 % ...number of literals in the above : 573
% 0.11/0.45 % Current number of archived formulas : 0
% 0.11/0.45 % Current number of archived clauses : 4
% 0.11/0.45 % Clause-clause subsumption calls (NU) : 70
% 0.11/0.45 % Rec. Clause-clause subsumption calls : 65
% 0.11/0.45 % Non-unit clause-clause subsumptions : 1
% 0.11/0.45 % Unit Clause-clause subsumption calls : 2
% 0.11/0.45 % Rewrite failures with RHS unbound : 0
% 0.11/0.45 % BW rewrite match attempts : 1
% 0.11/0.45 % BW rewrite match successes : 1
% 0.11/0.45 % Condensation attempts : 0
% 0.11/0.45 % Condensation successes : 0
% 0.11/0.45 % Termbank termtop insertions : 10251
% 0.11/0.45 % Search garbage collected termcells : 2261
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.008 s
% 0.11/0.45 % System time : 0.004 s
% 0.11/0.45 % Total time : 0.012 s
% 0.11/0.45 % Maximum resident set size: 4264 pages
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.012 s
% 0.11/0.45 % System time : 0.007 s
% 0.11/0.45 % Total time : 0.020 s
% 0.11/0.45 % Maximum resident set size: 4608 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------